special equipment

Preparation

crust

Blend flour, sugar, and salt in processor. Add butter; using on/off turns, process until mixture resembles very coarse meal. Add 3 tablespoons ice water; process using on/off turns until moist clumps form, adding more ice water by teaspoonfuls if dough is dry. Turn dough out onto lightly floured work surface and knead briefly just until dough comes together, 4 to 5 turns. Flatten dough into disk; wrap in plastic and chill at least 1 hour. DO AHEAD Can be made 1 day ahead. Keep chilled.

Line large baking sheet with parchment paper. Roll out dough on lightly floured work surface to 13-inch round. Transfer dough round to prepared baking sheet and chill 20 minutes. Using 2 1/2- to 3-inch heart-shaped or scalloped cookie cutter, cut out shapes from dough, spacing close together (leave cutouts on baking sheet). If necessary, remove dough scraps, reroll, and cut out additional shapes for total of about 20. Chill on sheet while preparing filling.

Place pie on rimmed baking sheet. Bake until crust is golden brown, peaches are tender, and juices are bubbling thickly at edges, about 45 minutes. Transfer pie to rack and cool at least 30 minutes. Spoon warm or room-temperature pie into bowls. Serve with Honey Yogurt.